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Finding the Third Proportional to 11,451,426 and 24,960,450

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Solution

The third proportional to 11,451,426 and 24,960,450 is: 54,405,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451,426 : 24,960,450 = 24,960,450 : x
  2. Step 2: Convert to fraction form
    11,451,426/24,960,450 = 24,960,450/x
  3. Step 3: Cross multiply
    11,451,426x = 24,960,450 × 24,960,450
  4. Step 4: Simplify right side
    11,451,426x = 623,024,064,202,500
  5. Step 5: Solve for x
    x = 623,024,064,202,500/11,451,426
  6. Step 6: Final answer
    x = 54,405,806.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.